Function of bounded variation on a domain
= Function of bounded variation on a domain
{title2=$BV(\Omega)$}
{wiki=Bounded_variation}
A function $u\in L^1(\Omega)$ has bounded variation when $\operatorname{TV}(u)<\infty$. The space $BV(\Omega)$ is a <Banach space> with norm $\|u\|_{L^1}+\operatorname{TV}(u)$.
= Bounded-variation space
{synonym}